Numeric-analytical approach to integrals calculation at construction of orthogonal models
The numeric-analytical method of calculation of the integrals is proposed for construction of orthogonal models. The given method allows to increase the accuracy of orthogonal models due to obtained algebraic and recurrent relations for integrals used. Comparative analysis of various orthogonal func...
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| Format: | Article |
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Samara State Technical University
2009-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu727 |
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Article |
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doaj-47ab086328c94ed7989982e89779826e2020-11-25T03:25:33ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812009-06-012(19)14014610.14498/vsgtu727Numeric-analytical approach to integrals calculation at construction of orthogonal modelsS. A. ProkhorovI. M. KulikovskikhThe numeric-analytical method of calculation of the integrals is proposed for construction of orthogonal models. The given method allows to increase the accuracy of orthogonal models due to obtained algebraic and recurrent relations for integrals used. Comparative analysis of various orthogonal functions which are the specific cases of Jacobi and Sonin–Laguerre bases is carried out when solving the posed problem. Realization of the developed algorithms is given by the example of construction of correlation orthogonal model in the Laguerre basis. http://mi.mathnet.ru/eng/vsgtu727 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. A. Prokhorov I. M. Kulikovskikh |
| spellingShingle |
S. A. Prokhorov I. M. Kulikovskikh Numeric-analytical approach to integrals calculation at construction of orthogonal models Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| author_facet |
S. A. Prokhorov I. M. Kulikovskikh |
| author_sort |
S. A. Prokhorov |
| title |
Numeric-analytical approach to integrals calculation at construction of orthogonal models |
| title_short |
Numeric-analytical approach to integrals calculation at construction of orthogonal models |
| title_full |
Numeric-analytical approach to integrals calculation at construction of orthogonal models |
| title_fullStr |
Numeric-analytical approach to integrals calculation at construction of orthogonal models |
| title_full_unstemmed |
Numeric-analytical approach to integrals calculation at construction of orthogonal models |
| title_sort |
numeric-analytical approach to integrals calculation at construction of orthogonal models |
| publisher |
Samara State Technical University |
| series |
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| issn |
1991-8615 2310-7081 |
| publishDate |
2009-06-01 |
| description |
The numeric-analytical method of calculation of the integrals is proposed for construction of orthogonal models. The given method allows to increase the accuracy of orthogonal models due to obtained algebraic and recurrent relations for integrals used. Comparative analysis of various orthogonal functions which are the specific cases of Jacobi and Sonin–Laguerre bases is carried out when solving the posed problem. Realization of the developed algorithms is given by the example of construction of correlation orthogonal model in the Laguerre basis.
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| url |
http://mi.mathnet.ru/eng/vsgtu727 |
| work_keys_str_mv |
AT saprokhorov numericanalyticalapproachtointegralscalculationatconstructionoforthogonalmodels AT imkulikovskikh numericanalyticalapproachtointegralscalculationatconstructionoforthogonalmodels |
| _version_ |
1724596372756234240 |